Best Of

I'll start you with the collector area, anyway. If we assume, conservatively, that you can get a 10% thermal efficiency out of it (which is, in my opinion, high for the temperatures you mention), and we also assume you are in New England or actually anywhere pretty much east of the Mississippi and north of the Mason-Dixon line, the general rule is that you can get 3 hours of effective collection per day. Some days you'll get more. Some, particularly in the winter, you will get less.

So... crunching all those numbers together with the dear old solar constant, which is conveniently 1 KW per square meter, we find that you can get an average energy output of 0.3 KWh per square meter of effective collector area per day. So your 5 KWh per day energy will take about 17 square meters of net effective area. Note that that's net effective area -- the area which is actually receiving sunshine and conducting, effectively, to the heat transfer medium.

Now you also mention wanting to generate power from the stored energy in the morning. That energy will have to have been stored the previous day (if you are lucky and it isn't cloudy several days in a row, which is often the case in the winter). You mention 6 to 8 hours. That won't cut it. You need an absolute minimum of 24 hours, and anywhere in the northeast more like 72 hours would be more conservative.

Personally I would like to see you also double check your power and energy requirement relative to your load, which you don't mention. Even with a pretty high efficiency heat pump, your 5 KWh energy only rises to about 50,000 BTU, or about 4,000 BTUh over a day of heat demand.